An efficient numerical method for one-dimensional hyperbolic interface problems
An efficient numerical method for one-dimensional hyperbolic interface problems
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DOI：
10.1051/itmconf/20192901002
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发表时间：
2019
影响因子：
--
通讯作者：
Chartese Jones;Xu Zhang
中科院分区：
文献类型：
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作者：
Chartese Jones;Xu Zhang
本文发展了一种求解一维双曲界面问题的有效数值格式。空间离散采用浸入式有限元（IFE）方法，使求解网格与界面无关。因此，在整个模拟过程中可以使用固定的均匀网格。时间离散采用直线法。数值实验显示了这些新方法的特点。
In this paper, we develop an efficient numerical scheme for solving one-dimensional hyperbolic interface problems. The immersed finite element (IFE) method is used for spatial discretization, which allows the solution mesh to be independent of the interface. Consequently, a fixed uniform mesh can be used throughout the entire simulation. The method of lines is used for temporal discretization. Numerical experiments are provided to show the features of these new methods.